101830428000 has 432 divisors, whose sum is σ = 420406930944. Its totient is φ = 23275123200.

The previous prime is 101830427987. The next prime is 101830428023. The reversal of 101830428000 is 824038101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1735137 + ... + 1792863.

It is an arithmetic number, because the mean of its divisors is an integer number (973164192).

Almost surely, 2^101830428000 is an apocalyptic number.

101830428000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101830428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210203465472).

101830428000 is an abundant number, since it is smaller than the sum of its proper divisors (318576502944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101830428000 is a wasteful number, since it uses less digits than its factorization.

101830428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57772 (or 57744 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 101830428000 in words is "one hundred one billion, eight hundred thirty million, four hundred twenty-eight thousand".